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Finding the Fourth Proportional to 197.48, 294.79 and 183.23

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Solution

The fourth proportional to 197.48, 294.79 and 183.23 is: 273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.48 : 294.79 = 183.23 : x
  2. Step 2: Convert to fraction form
    197.48/294.79 = 183.23/x
  3. Step 3: Cross multiply
    197.48x = 294.79 × 183.23
  4. Step 4: Simplify right side
    197.48x = 54,014.37
  5. Step 5: Solve for x
    x = 54,014.37/197.48
  6. Step 6: Final answer
    x = 273.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.